ICSE Class 10 Equation of a Straight Line — Mock Test (2027)
Free online mock test for Equation of a Straight Line (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Equation of a Straight Line chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.In what ratio does the line $x - 5y + 15 = 0$ divide the join of points A (2, 1) and B (-3, 6), and what are the co-ordinates of their point of intersection?
- A.Ratio: 2:3; Co-ordinates: (0, 3)
- B.Ratio: 3:2; Co-ordinates: (3, 0)
- C.Ratio: 1:2; Co-ordinates: (-1, 2.8)
- D.Ratio: 2:1; Co-ordinates: (1, 3.2)
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2.Select the equation of the line with inclination $60^{\circ}$ and passing through the point $(-4, 5)$.
- A.$\sqrt{3} x + y + 4\sqrt{3} - 5 = 0$
- B.$\sqrt{3} x + y - 4\sqrt{3} + 5 = 0$
- C.$\sqrt{3} x - y + 4\sqrt{3} + 5 = 0$
- D.$\sqrt{3} x + y + 4\sqrt{3} + 5 = 0$
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3.If the straight lines $3x - 5y = 7$ and $4x + ay + 9 = 0$ are perpendicular to one another, find the value of $a$.
- A.$a = 4$
- B.$a = 6$
- C.$a = -6$
- D.$a = 12$
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4.Find the equation of a straight line that is perpendicular to the line $2x + 5y + 7 = 0$ and has a $y$-intercept of $-3$ units. Which of the following is the correct equation?
- A.$5x - 2y - 6 = 0$
- B.$2x + 5y + 15 = 0$
- C.$5x + 2y + 6 = 0$
- D.$2x - 5y - 15 = 0$
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5.Find the slope of the line passing through the points A $(0, -3)$ and B $(2, 1)$. What is the value of the slope?
- A.2
- B.-2
- C.0.5
- D.4
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